Least Common Multiple (LCM) of 200 and 195
The least common multiple (LCM) of 200 and 195 is 7800.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 200 and 195?
First, calculate the GCD of 200 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 195 = 1 remainder 5 |
| 2 | 195 ÷ 5 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 34 | 3842 |
| 106 and 54 | 2862 |
| 81 and 140 | 11340 |
| 120 and 81 | 3240 |
| 116 and 54 | 3132 |